A Different Mathematical Operation

Algebra Level 1

Look the operation sign ♯ \sharp :

4 ♯ 1 = 5 4\sharp 1=5

5 ♯ 2 = 9 5\sharp 2=9

6 ♯ 3 = 15 6\sharp 3=15

7 ♯ 4 = 23 7\sharp 4=23

Can you find 9 ♯ 6 9\sharp 6 ?

72 54 63 45

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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4 solutions

Nihar Mahajan
Jan 31, 2015

4#1 = 4 + 1^2 = 4 + 1 = 5

5#2 = 5 + 2^2 = 5 + 4 = 9

6#3 = 6 + 3^2 = 6 + 9 = 15

7#4 = 7 + 4^2 = 7 + 16 = 23

So ,

9#6 = 9 + 6^2 = 9 + 36 = 45 :)

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Harish Yadav
Jan 31, 2015

we see the diff. b/w 5&9 that is four ,then 6 ,then 8,then after 10 ,and after 10 that is 12

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes! This is the fastest way at arriving at the answer. People get too distracted by trying to write out the equation.

Kris Cui - 6 years, 4 months ago
Akash Gupta
Jan 31, 2015

See, here, the number to the right side of the symbol# is squared and then added to the number to its left side.
4#1 = 4 + 1 X 1 = 4 + 1 = 5
5#2 = 5 + 2 X 2 = 5 + 4 = 9
6#3 = 6 + 3 X 3 = 6 + 9 = 15
7#4 = 7 + 4 X 4 = 7 + 16 = 23
So,
9#6 = 9 + 6 X 6 = 9 + 36 = 45



0 Helpful 0 Interesting 0 Brilliant 0 Confused
Mikael Marcondes
Jan 31, 2015

Nós podemos buscar um padrão, nos números a serem operados, no lado esquerdo, e nos números que os operam, no lado direito. A operação entre 9 e 6 ocorre duas operações depois da última operação mostrada. Ao observarmos o padrão das imagens, vemos que elas crescem por um determinado número par, a cada duas operações. Entre 15 e 23, o acréscimo é de 8. Logo, precisamos somar 23 a 10+12, e encontraremos 9#6=45.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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